Final Answer
Step-by-step Solution
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Group the terms of the differential equation. Move the terms of the $y$ variable to the left side, and the terms of the $x$ variable to the right side of the equality
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$\left(y^2-2y\right)dy=x\cdot dx$
Learn how to solve problems step by step online. Solve the differential equation dy/dx(y^2-2y)=x. Group the terms of the differential equation. Move the terms of the y variable to the left side, and the terms of the x variable to the right side of the equality. Simplify the expression \left(y^2-2y\right)dy. Integrate both sides of the differential equation, the left side with respect to . Solve the integral \int y\left(y-2\right)dy and replace the result in the differential equation.